Question

Which of the following RelationShip is true for face centred Crystal (a) r=√3a/4 b)r=a/2√2 c) r=a/2 d) r=√3a/2​

Answer 1

Answer:

Remember that a face-centered unit cell has an atom in the middle of each face of the cube. The square represents one face of a face-centered cube:

Applying Pythagoras theorem,

a

2

+a

2

=(r+2r+r)

2

⇒

2

a=4r